数学分析

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。

Due to its good effect in the reservation of information of signal abrupt change, mathematical morphology is often applied in the detection and location of short-term power quality disturbance, however, there is still a defect of invalid detection existing in partial detection methods based on mathematical morphology while some zero-crossing disturbances are detected. In this paper three mathematical morphology based disturbance detection and location methods, i.e., the method based on first-order derivation and morphological gradient, the method based on morphological gradient and soft threshold processing and the method based on dq decomposition and top-hat transform, are analyzed, that is, by means of simulation the adaptability of these methods in the analysis on the signals of voltage sag, voltage swell and electromagnetic transient oscillation is compared.

数学形态学因其在保留信号突变点信息方面有很好的效果，因此常用于短时电能质量扰动的检测和定位，但基于数学形态学的部分方法仍存在对某些过零点扰动检测失效的缺点，文章分析了3种基于数学形态学的扰动检测和定位方法，即基于1阶求导和形态梯度的方法、基于形态梯度和软阈值处理的方法、基于dq分解和高帽变换的方法，通过仿真比较了3种方法在分析电压暂降、电压暂升、电磁暂态振荡等信号方面的适应性，结果发现基于dq分解和高帽变换的方法在检测过零点扰动时具有很好的效果，因此选取这种方法对实测扰动数据进行了检测和定位分析。

It can show the relation of angular speed for each component of automatic transmission. This paper established general mathematical models of multi-DOF transmission analysis on speed ratio and kinematics and dynamics. As generalized coordinates with parameter of independent component. And the developed relevant general programs.

以运动独立构件为广义坐标，建立了包含任意接合元件的多自由度变速器的档位分析，运动分析，力矩分析和动力分析的通用数学模型，并开发了相应的通用计算机程序，通过对典型变速器的实例分析，验证了所建立的通用数学模型的正确性以及所开发的计算机通用程序的有效性。

A detailed analysis of the main circuit introduction, control method and working principle of the direct-drive wind energy conversion system are given to introduce the two important parts a of this paper: First part is the control method of the multiple boost convertor, the important instantaneous current control method of this paper is given through the analysis of the main circuit structure, control method and working principle. Then a steady-state analysis for low-frequency, a high-frequency component analysis, and a closed-loop tracking performance analysis for dynamic response are provided to analyze the method proposed; And the second part is the control method of invertor.

在系统变流器整体结构分析的基础上，引出本文重点研究的两个变流环节的控制：第一部分是系统升压斩波器的控制，通过分析相关主电路结构、原理，建立了数学模型，引出本文重点研究的瞬时值控制策略的概念和具体实现，并对升压斩波器的瞬时值控制策略进行了详细的高频、低频模型分析和稳态、动态性能分析；第二部分是系统并网逆变器的控制，通过对逆变器主电路的数学建模和控制要求分析，研究了并网逆变器的瞬时值控制策略，包括电感电流控制内环和直流电压控制外环的具体设计和实现方法。

China has implemented new courses in a few years, the study of middle school teachers teaching and students studying math on the investigation at this stage Instructional Design Research expounded on the need from classroom teaching and learning theories analysis, to find guidance in the design of classroom teaching under the new curriculum theory and classroom teaching on the design analysis of the whole process; From the typical class (class mathematical concepts and mathematical theory classes and study complicated math classes, the study of mathematics learning courses, open learning mathematics classes, cooperative learning math lessons) teaching the practice of design study, initial design, this is my classroom teaching design in recent years the practice of summary, the results of this study reflect.

新课程在我国已实施好几年了，本研究通过对初中教师与学生数学教学情况的调查，阐述研究现阶段课堂教学设计的必要性；从课堂教学理论、学习理论的分析中，寻找指导新课程下课堂教学设计的理论，并就课堂教学设计的全过程进行剖析；从几种典型课(数学概念课、数学原理课、数学复习课、数学研究性学习课、数学开放探究课、数学合作学习课)的课堂教学设计的实践研究中，提出初步的设计思路，这既是本人近年来课堂教学设计的实践总结，也是本研究的成果体现。

The new curriculum emphasizes mathematics and the real life relation, but also proposed specially mathematics teaching is mathematics activity teaching, is also lets the student career mathematization process the activity, lets the student embark from own mathematics reality, catches mathematics question with mathematics judgment in the life, utilizes mathematics knowledge analysis life phenomenon on own initiative, thus solves the actual problem which independently in the life meets.

新课程强调数学与现实生活的联系，还特别提出了数学教学是数学活动的教学，也就是让学生经历数学化过程的活动，让学生从自己的数学现实出发，用数学的眼光在生活中捕捉数学问题，主动地运用数学知识分析生活现象，从而自主地解决生活中所遇到的实际问题。

The study methods: Based on digital printing and offset printing technology principle, the basic parameters having effect on the ink-jet printing output quality were analyzed. And the mathematics models between the ink quantity and the solid density, and the relation between the gamma and printing contrast were established. The relation among the output dot area coverage, the original dot area coverage and the dot-gain percent was analyzed. And the mathematics models of printing characteristics curves and dot-gain curves were established. The factors influencing the dot-gain were analyzed, and then the dot-gain compensation function was acquired. All the models were verified by the method of regression analysis. And the precisions of the models were obtained by the correlation coefficient and multiple correlation coefficients.

研究方法：根据数码印刷以及胶版印刷的工艺原理，分析了影响喷墨印刷输出质量的基本参数，建立墨量与样张实地密度、γ与相对反差的数学模型；分析输出网点面积率、标定网点面积率以及网点扩大率三者之间的关系，建立网点扩大曲线和印刷阶调复制曲线的数学模型，并对网点扩大的影响因素进行了分析，导出了网点扩大补偿函数；运用回归分析方法分析模型，并用相关系数和复相关系数检验回归模型的显著性；使用灰平衡方程，结合回归法得出灰平衡控制曲线。

It's pointed out that soft sensor will play more important role in field bus network control system. According to this, a crude solution was addressed. At last, we point out that soft sensor technology must used to build an information warehouse for the whole enterprise, combined with data fusion, data warehouse, data rectification and other related technologies. The main contributions of this dissertation are as follows: The background, requirement, and application situation of soft sensors are expounded, the theories, methods and skills of soft sensing technology are analyzed, and the fruits and problems in current soft sensor technologies are summarized. Some new methods of soft sensor is proposed: A principal component analysis-based secondary variable selection method are proposed; A new conception which modeling data should have gross error detection is addressed, and then a cluster analysis-based modeling data gross error detection method is given.

本文的主要贡献有：对软测量技术根据实践的要求进行了一定的理论研究，针对具体问题提出了新的方法：讨论了辅助变量选择问题，研究了基于主元分析的辅助变量选择方法，该方法克服了传统方法只能利用数学模型产生的仿真数据进行最优辅助变量选择的缺点，可以根据历史数据进行辅助变量选择；提出了建模数据显著误差侦破的概念，指出传统的显著误差侦破研究的是已知过程数学模型的情况，而建模时数学模型是未知的，但是直接来自现场的数据并不能保证不含显著误差，并用基于聚类分析的方法解决了该问题，该方法利用聚类分析原理，直接面对过程数据，不需以过程模型为基础，在此基础上给出了软测量建模过程中样本数据的处理方法。

In this study, we try to provide the examples of the application of mathematics to music; the application of golden ratio to musical structure; the calculation and derivation of Pythagoras scale、pure scale and twelve-tone equal temperament scale; the application and analysis of mathematics in fifth-degree co-generation method; and the two-dimension research of the interval and scale. These discussions apparently show the strong correlation of mathematics and music.

本文藉由数学与音乐的多元对话，探讨音乐领域中数学的应用范例；黄金比例在乐曲结构之应用；运用数学推演和计算毕氏音阶、纯律音阶和十二平均律音阶的组成；探讨五度相生律的应用范例与数学的密切关系；归纳和分析音程和音调的数学二元图表，在在都显示出数学与音乐密不可分的关系。

By study, majority of the research productions and theoretical papers are about how to control harmonic, and the harmonic analysis methods that were introduced are generally applied in large power system, these harmonic analysis methods usually use harmonic network's mathematic model (the conductance and susceptance matrix of the node). But because of the dissymmetry of some elements in power system, the mathematic model is very complex, so it is very complicated to calculate by these methods, we commonly combine with computer and use them to analyze large power system.

通过学习和了解，现有的研究成果和理论文章多数是介绍谐波的治理方法，而介绍谐波分析方法的论文一般是针对大型电力系统进行分析和研究的，这些谐波分析方法通常利用谐波网络的数学模型（谐波网络的节点导纳矩阵）进行分析，由于电力系统中的某些元件的不对称性，使得数学模型复杂，计算起来极为繁琐，因此，一般结合计算机用于分析大型电力系统。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。